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10140314022 = 234193294449
BaseRepresentation
bin10010111000110100…
…01110100110100110
3222011200210022210000
421130122032212212
5131231410022042
64354114042130
7506200150506
oct113432164646
928150708700
1010140314022
114333a41013
121b6bb79346
13c57aa7717
146c2a49a06
153e537774c
hex25c68e9a6

10140314022 has 40 divisors (see below), whose sum is σ = 23917707000. Its totient is φ = 3202203456.

The previous prime is 10140313999. The next prime is 10140314027. The reversal of 10140314022 is 22041304101.

10140314022 is a `hidden beast` number, since 101 + 403 + 140 + 22 = 666.

10140314022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10140313986 and 10140314004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140314027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1644147 + ... + 1650302.

It is an arithmetic number, because the mean of its divisors is an integer number (597942675).

Almost surely, 210140314022 is an apocalyptic number.

10140314022 is an abundant number, since it is smaller than the sum of its proper divisors (13777392978).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10140314022 is a wasteful number, since it uses less digits than its factorization.

10140314022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3294482 (or 3294473 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10140314022 its reverse (22041304101), we get a palindrome (32181618123).

The spelling of 10140314022 in words is "ten billion, one hundred forty million, three hundred fourteen thousand, twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 1026 1539 3078 3294449 6588898 9883347 19766694 29650041 59300082 62594531 88950123 125189062 177900246 187783593 266850369 375567186 533700738 563350779 1126701558 1690052337 3380104674 5070157011 10140314022